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Capacity theorems for the relay channel

Thomas M. Cover, +1 more
- Vol. 80, pp 572-584
TLDR
An achievable lower bound to the capacity of the general relay channel is established and superposition block Markov encoding is used to show achievability of C, and converses are established.
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The article was published on 1979-09-01 and is currently open access. It has received 3918 citations till now. The article focuses on the topics: Relay channel & Channel capacity.

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Citations
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Journal ArticleDOI

Self-Concatenated Code Design and its Application in Power-Efficient Cooperative Communications

TL;DR: The design methodology of future iteratively decoded self-concatenated aided cooperative communication schemes is presented and the most important milestones in the area of channel coding, concatenated coding schemes and cooperative communication systems till date are identified.
Journal ArticleDOI

System Design and Throughput Analysis for Multihop Relaying in Cellular Systems

TL;DR: A realistic model and typical cellular scenarios are used to show how relaying can be used to improve coverage and throughput in a real-world system.
Journal ArticleDOI

A New Upper Bound on the Capacity of a Primitive Relay Channel Based on Channel Simulation

TL;DR: An upper bound on the capacity of a primitive three-node discrete memoryless relay channel is considered, where a source X wants to send information to destination Y with the help of a relay Z.
Journal ArticleDOI

Random DS/CDMA for the amplify and forward relay channel

TL;DR: Under these hypotheses, indeed, random matrix theory results show that it is possible to derive deterministic almost sure equivalents which are excellent approximations of the finite reality.
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Cut-Set Bound is Loose for Gaussian Relay Networks

TL;DR: A new upper bound on the capacity of the Gaussian primitive relay channel which is tighter than the cut-set bound is developed, which implies that the current capacity approximations for Gaussian relay networks are order-optimal and leads to a lower bound on a preconstant.
References
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Noiseless coding of correlated information sources

TL;DR: The minimum number of bits per character R_X and R_Y needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders is determined.
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Three-terminal communication channels

TL;DR: A coding theorem and weak converse are proved and a necessary and sufficient condition for a positive capacity is derived and upper and lower bounds on the capacity are obtained, which coincide for channels with symmetric structure.
Journal ArticleDOI

Source coding with side information and a converse for degraded broadcast channels

TL;DR: In Section H of the paper, a characterization of the capacity region for degraded broadcast channels (DBC's) is given, which was conjectured by Bergmans and is somewhat sharper than the one obtained by Gallager.
Journal ArticleDOI

A proof of the data compression theorem of Slepian and Wolf for ergodic sources (Corresp.)

TL;DR: It is established that the Slepian-Wolf theorem is true without change for arbitrary ergodic processes \{(X_i,Y_i)\}_{i=1}^{\infty} and countably infinite alphabets.
Journal ArticleDOI

On source coding with side information at the decoder

TL;DR: The characterization of the family of rate triples (R_0,R_1, R_2) for which this system can deliver essentially perfect reproductions of X and Y and the principal result is a characterization of this family via an information-theoretic minimization.
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